Submission #144762

#	Time	Username	Problem	Language	Result	Execution time	Memory
144762		nvmdava	Rectangles (IOI19_rect)	C++17	100 / 100	4955 ms	930640 KiB

rect

#include "rect.h"
#pragma GCC optimize("-Ofast")
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define N 2501

map<int, int> cnt[N][N][2];
int arr[N][N], bit[N], temp[N], p[N], lc[N], rc[N], n, m;
vector<int> v;
vector<int> t;
inline void buildtree(int sz){

	v = {0};
	for(int i = 1; i <= sz; i++){
		t.clear();
		while(temp[v.back()] < temp[i]){
			t.push_back(v.back());
			v.pop_back();
		}
		v.push_back(i);
		for(int j = t.size() - 1; j > 0; j--){
			p[t[j - 1]] = t[j];
		}
		if(!t.empty()) p[t.back()] = i;
	}
	for(int i = v.size() - 1; i > 0; i--)
		p[v[i]] = v[i - 1];
	for(int i = 1; i <= sz; i++){
		if(p[i] > i){
			lc[p[i]] = i;
		} else {
			rc[p[i]] = i;
		}
	}

}

void travtree(int i1, int i2, int v, int l, int r){
	if(l != 0 && r != (i1 == 1 ? n + 1 : m + 1) && r - l > 1 && temp[l] != temp[v] && temp[r] != temp[v]){
		if(i1 == 0)
			cnt[i2][r - 1][0][r - l - 1]++;
		else 
			cnt[r - 1][i2][1][r - l - 1]++;
	}
	if(lc[v] != 0)
		travtree(i1, i2, lc[v], l, v);
	if(rc[v] != 0)
		travtree(i1, i2, rc[v], v, r);
}

inline void build(){
	for(int j = 1; j <= m; j++){
		memset(lc, 0, sizeof lc);
		memset(rc, 0, sizeof rc);

		for(int i = 0; i <= n; i++)
			temp[i] = arr[i][j];
		
		buildtree(n);
		travtree(1, j, 0, 0, n + 1);
	}
}

inline void update(int x, int v){
	for(int i = x; i < N; i += i & -i)
		bit[i] += v;
}

inline int query(int x){
	int res = 0;
	for(int i = x; i > 0; i -= i & -i)
		res += bit[i];
	return res;
}
vector<pair<int, int> > sad;
int i1;
bool sw;
long long count_rectangles(vector<vector<int> > a){
	n = a.size();
	m = a[0].size();
	
	for(int i = 0; i < N; i++){
		arr[0][i] = 0x3f3f3f3f;
		arr[i][0] = 0x3f3f3f3f;
	}

	for(int i = 0; i < n; i++)
		for(int j = 0; j < m; j++)
			arr[i + 1][j + 1] = a[i][j];
	a.clear();
	build();
	int res = 0;
	for(int i = 1; i <= n; i++){
		memset(lc, 0, sizeof lc);
		memset(rc, 0, sizeof rc);
		for(int j = 0; j <= m; j++)
			temp[j] = arr[i][j];
		buildtree(m);
		travtree(0, i, 0, 0, m + 1);
		for(int j = 1; j <= m; j++){
			sw = 0;
			sad.clear();
			for(auto& x : cnt[i][j][0]){
				auto it = cnt[i - 1][j][0].find(x.ff);
				if(it != cnt[i - 1][j][0].end())
					x.ss = 1 + it -> ss;
			}
			for(auto& x : cnt[i][j][1]){
				auto it = cnt[i][j - 1][1].find(x.ff);
				if(it != cnt[i][j - 1][1].end())
					x.ss = 1 + it -> ss;
			}
			if(cnt[i][j][0].size() > cnt[i][j][1].size()) sw = 1;

			for(auto& x : cnt[i][j][sw]){
				sad.push_back({x.ss, x.ff});
				update(x.ff, 1);
			}

			sort(sad.rbegin(), sad.rend());
			i1 = sad.size() - 1;
			sw ^= 1;
			for(auto& x : cnt[i][j][sw]){
				while(i1 >= 0 && sad[i1].ff < x.ff)
					update(sad[i1--].ss, -1);

				res += query(x.ss);
			}
			while(i1 >= 0)
				update(sad[i1--].ss, -1);
			cnt[i - 1][j][0].clear();
			cnt[i - 1][j][1].clear();
		}
	}
	return res;
}

• Subtask 1: 8 / 8
• Subtask 2: 7 / 7
• Subtask 3: 12 / 12
• Subtask 4: 22 / 22
• Subtask 5: 10 / 10
• Subtask 6: 13 / 13
• Subtask 7: 28 / 28